Question

what is the differentiation of x^2÷y

Answer 1

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Answer 2

Given sum can be solved using U / V method or Quotient Rule.

Quotient Rule : $\frac{d }{dx} ( \frac{u}{v} ) = \frac{ v ( \frac{du}{dx} ) - u ( \frac{dv}{dx} ) }{v^2}$

In the above case, u = x² and v = y. Applying Quotient Rule we get,

RHS :

=> ( 1 / y ) × d ( x² ) / dx

=> ( 1 / y ) * 2x = [ Applying xⁿ = nxⁿ⁻¹ identity ]

=> 2x / y

Hence the derivative is 2x / y.

Hope my answer helped !